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Finding the Fourth Proportional to 149.28, 223.72 and 110.45

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Solution

The fourth proportional to 149.28, 223.72 and 110.45 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.28 : 223.72 = 110.45 : x
  2. Step 2: Convert to fraction form
    149.28/223.72 = 110.45/x
  3. Step 3: Cross multiply
    149.28x = 223.72 × 110.45
  4. Step 4: Simplify right side
    149.28x = 24,709.21
  5. Step 5: Solve for x
    x = 24,709.21/149.28
  6. Step 6: Final answer
    x = 165.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.